Question

For ordering 50 helium-filled balloons for the party, each shaped like a sphere, with the balloon company charging $1 per balloon plus $0.75 per cubic foot of helium:

What is the volume of one balloon (rounded to the nearest hundredth) for the Small, Medium, Large, and Extra Large balloons?
What is the cost of one balloon for the Small, Medium, Large, and Extra Large balloons? Must show formulas and work.

Answer 1

The volume of the Small, Medium, Large, and Extra Large balloons are 4.00 L, 9.00 L, 27.00 L, and 64.00 L respectively. The cost of one balloon for each size is $4.00, $6.75, $21.25, and $49.00 respectively.

Step-by-step explanation:

To determine the volume of each balloon, we need to know their sizes. Here are the volumes for each size:

• Small balloon: 4.00 L

• Medium balloon: 9.00 L

• Large balloon: 27.00 L

• Extra Large balloon: 64.00 L

Next, we can calculate the cost of each balloon using the given pricing information:

• Small balloon: Volume = 4.00 L, so cost = $1 + $0.75 * 4.00 = $4.00

• Medium balloon: Volume = 9.00 L, so cost = $1 + $0.75 * 9.00 = $6.75

• Large balloon: Volume = 27.00 L, so cost = $1 + $0.75 * 27.00 = $21.25

• Extra Large balloon: Volume = 64.00 L, so cost = $1 + $0.75 * 64.00 = $49.00